Finite Group Databasebeta

← Group #12169243

Character table — Group #12169243

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222244444444444444444444444488888888888888888888888888888888888888888816161616161616161616202020202020202040404040404040408080
order1222222244445510101010101010101010101010104444444420202020202020202020202020202020444444202020202020202020202020202020202020202020202020202020202020202020202020442020202020202020888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111111111-1-111-1-1-1-11-1
χ611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ91111111111111111111111111111-1-1-1-111111111111111111111-111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ101111111111111111111111111111-1-1-1-111111111111111111111-111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111
χ121111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-11-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ26222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2002002222-2-2-2-200000000222222-2-222-2-2000000000000000000000000000000000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222222200-2002222-2-2-2-200000000-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ3522222222-2-2-2-22222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2200-200-2-2-2-22222000000002222-2-222-2-222000000000000000000000000000000000000
χ3622222222-2-2-2-22222222222222222-2-222-2-222-2-2-2-2-2-2-2-222222222-200200-2-2-2-2222200000000-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ3722222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-200200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ3822222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-200200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
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χ8744-4-4-44-44-44-44−1+5−1−5−1+5−1+5−1−5−1−51−51+5−1+51−5−1−51+51−51−51+51+500000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000-44000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000
χ8844-4-4-44-44-44-44−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−51+5−1+51−51+51+51−51−500000000−1−5−1−51+51+5−1+5−1+51−51−50000000000004-400000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000
χ8944-4-4-44-44-44-44−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−51+5−1+51−51+51+51−51−500000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000-44000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000
χ904-444-4-4-444-4-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500004i−4i4i−4i−1+51−5−1+51−5−1−51+5−1−51+5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ914-444-4-4-444-4-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000−4i4i−4i4i−1+51−5−1+51−5−1−51+5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ924-444-4-4-444-4-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500004i−4i4i−4i−1−51+5−1−51+5−1+51−5−1+51−5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ934-444-4-4-444-4-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000−4i4i−4i4i−1−51+5−1−51+5−1+51−5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ944-444-4-4-44-444-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500004i−4i−4i4i1−5−1+51−5−1+51+5−1−51+5−1−52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ954-444-4-4-44-444-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000−4i4i4i−4i1−5−1+51−5−1+51+5−1−51+5−1−5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ964-444-4-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500004i−4i−4i4i1+5−1−51+5−1−51−5−1+51−5−1+52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ974-444-4-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000−4i4i4i−4i1+5−1−51+5−1−51−5−1+51−5−1+5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ984-44-444-4-4000044-44-4444-4-4-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ994-44-444-4-4000044-44-4444-4-4-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ1004-4-44-444-4000044-44-44-4-4-44-444-44-44i−4i00000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-4000044-44-44-4-4-44-444-44-4−4i4i0000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-40000−1+5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+54i−4i000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ1034-4-44-444-40000−1+5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+54i−4i00000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ1044-4-44-444-40000−1+5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5−4i4i000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ1054-4-44-444-40000−1+5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5−4i4i00000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ1064-4-44-444-40000−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−54i−4i00000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000
χ1074-4-44-444-40000−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−54i−4i000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000
χ1084-4-44-444-40000−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5−4i4i00000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000
χ1094-4-44-444-40000−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5−4i4i000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000
χ1104-4-4-44-44444-4-444-4-4-4-4-4-44-44-4444400000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-4-44-44444-4-4−1+5−1−51−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−5000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000
χ1124-4-4-44-44444-4-4−1+5−1−51−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−5000000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000
χ1134-4-4-44-44444-4-4−1−5−1+51+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+5000000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000
χ1144-4-4-44-44444-4-4−1−5−1+51+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+5000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000
χ1154-4-4-44-444-4-444−1+5−1−51−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−500000000−1+51−51−5−1+5−1−51+51+5−1−50000000004-40000000000000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000
χ1164-4-4-44-444-4-444−1+5−1−51−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−500000000−1+51−51−5−1+5−1−51+51+5−1−5000000000-4400000000000000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000
χ1174-4-4-44-444-4-444−1−5−1+51+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+500000000−1−51+51+5−1−5−1+51−51−5−1+50000000004-40000000000000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000
χ1184-4-4-44-444-4-444−1−5−1+51+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+500000000−1−51+51+5−1−5−1+51−51−5−1+5000000000-4400000000000000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000
χ119888-8-8-88-80000−2+25−2−25−2+252−25−2−252+25−2+25−2−252−252−252+252+25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ120888-8-8-88-80000−2−25−2+25−2−252+25−2+252−25−2−25−2+252+252+252−252−25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-888-8-80000−2+25−2−252−25−2+252+25−2−25−2+25−2−252−252−252+252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-888-8-80000−2−25−2+252+25−2−252−25−2+25−2−25−2+252+252+252−252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.